SOLUTION: Write an equation in standard form of the parabola that has the same shape as the graph of f(x)= 4x^2 or g(x)=−4x^2​, but with the given maximum or minimum. Maximum=7 at

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write an equation in standard form of the parabola that has the same shape as the graph of f(x)= 4x^2 or g(x)=−4x^2​, but with the given maximum or minimum. Maximum=7 at      Log On


   



Question 1168801: Write an equation in standard form of the parabola that has the same shape as the graph of
f(x)= 4x^2 or
g(x)=−4x^2​, but with the given maximum or minimum.
Maximum=7 at x=-2

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
given: Maximum=7 at x=-2, so that its vertex is at (-2,7)

using vertex form
f%28x%29= ±%28x-h%29%5E2+%2Bk we will have
f%28x%29= ±%28x-%28-2%29%29%5E2+%2B7
f%28x%29= ±%28x%2B2%29%5E2+%2B7.....since given Maximum, use negative sine
f%28x%29=+-%28x%2B2%29%5E2+%2B7

The standard form of a parabola's equation is generally expressed:
y=ax%5E2%2Bbx%2Bc....so you have
y=+-x%5E2+-+4x+%2B+3